13814802720 has 288 divisors, whose sum is σ = 51464911680. Its totient is φ = 3489868800.

The previous prime is 13814802709. The next prime is 13814802773. The reversal of 13814802720 is 2720841831.

13814802720 is a `hidden beast` number, since 1 + 381 + 4 + 8 + 0 + 272 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 729370 + ... + 748070.

It is an arithmetic number, because the mean of its divisors is an integer number (178697610).

Almost surely, 2^13814802720 is an apocalyptic number.

13814802720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13814802720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25732455840).

13814802720 is an abundant number, since it is smaller than the sum of its proper divisors (37650108960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13814802720 is a wasteful number, since it uses less digits than its factorization.

13814802720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18750 (or 18730 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 13814802720 in words is "thirteen billion, eight hundred fourteen million, eight hundred two thousand, seven hundred twenty".